The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!
Answers
====================================================
Explanation
x = measure of angle 1
y = measure of angle 2
x = 2y+18, since angle 1 is 18 more than twice that of angle 2
Assuming this is a parallelogram, the adjacent angles are supplementary. So,
x+y = 180
2y+18+y = 180
3y+18 = 180
3y = 180-18
3y = 162
y = 162/3
y = 54
This leads to,
x = 2y+18
x = 2*54+18
x = 108+18
x = 126
Note that x+y = 126+54 = 180
Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees
The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°
What is polygon?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
The measure of angle 1 = 2 × The measure of the angle 2 + 18
Write an equation for the above statement,
x = 2y + 18
Here, x is a measure of angle 1 and y is the measure of angle 2,
As you can see from the figure it is a parallelogram then,
x + y = 180 (The sum of supplementary angle)
Solve the equation by elimination method,
y = 54, x = 2 × 54 + 18 = 126
The opposite angle of a parallelogram are equal,
Measure of angle 3 = Measure of angle 1 = 126
To know more about polygons:
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